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Finding the Fourth Proportional to 52,129.54, 78,194.31 and 12,686.65

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Solution

The fourth proportional to 52,129.54, 78,194.31 and 12,686.65 is: 19,029.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,129.54 : 78,194.31 = 12,686.65 : x
  2. Step 2: Convert to fraction form
    52,129.54/78,194.31 = 12,686.65/x
  3. Step 3: Cross multiply
    52,129.54x = 78,194.31 × 12,686.65
  4. Step 4: Simplify right side
    52,129.54x = 992,023,988.28
  5. Step 5: Solve for x
    x = 992,023,988.28/52,129.54
  6. Step 6: Final answer
    x = 19,029.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.